Surface Area and Volume Flashcards

Grade 10 · Math · Flashcards

Quick-reference formulas for surface area and volume of all major 3D solids.

Flashcards

Volume — Cube: V = s³, where s is the side length.
Volume — Rectangular Prism: V = l × w × h.
Volume — Cylinder: V = πr²h.
Volume — Cone: V = ⅓πr²h.
Volume — Sphere: V = (4/3)πr³.
Volume — Square Pyramid: V = ⅓s²h, where s is base side length.
SA — Cube: SA = 6s².
SA — Rectangular Prism: SA = 2(lw + lh + wh).
SA — Cylinder: SA = 2πr² + 2πrh.
SA — Cone: SA = πr² + πrl, where l = √(r²+h²).
SA — Sphere: SA = 4πr².
SA — Hemisphere (total): SA = 2πr² (curved) + πr² (base) = 3πr².
Scaling Rule — Volume: If all dimensions are multiplied by k, volume is multiplied by k³.
Scaling Rule — Surface Area: If all dimensions are multiplied by k, surface area is multiplied by k².